Quasi-hermitian Quantum Mechanics in Phase Space
arXiv:quant-ph/0701006 · doi:10.1063/1.2365716
Abstract
We investigate quasi-hermitian quantum mechanics in phase space using standard deformation quantization methods: Groenewold star products and Wigner transforms. We focus on imaginary Liouville theory as a representative example where exact results are easily obtained. We emphasize spatially periodic solutions, compute various distribution functions and phase-space metrics, and explore the relationships between them.
Accepted by Journal of Mathematical Physics
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- On Wigner functions and a damped star product in dissipative phase-space quantum mechanics
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- Phase space formulation of density operator for non-Hermitian Hamiltonians and its application in quantum theory of decay
- Density operator approach to turbulent flows in plasma and atmospheric fluids